100540513023 has 16 divisors (see below), whose sum is σ = 134671610880. Its totient is φ = 66718331456.

The previous prime is 100540513001. The next prime is 100540513079. The reversal of 100540513023 is 320315045001.

It is a cyclic number.

It is not a de Polignac number, because 100540513023 - 2⁹ = 100540512511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100540512984 and 100540513002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100540513523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4298386 + ... + 4321712.

It is an arithmetic number, because the mean of its divisors is an integer number (8416975680).

Almost surely, 2^100540513023 is an apocalyptic number.

100540513023 is a deficient number, since it is larger than the sum of its proper divisors (34131097857).

100540513023 is a wasteful number, since it uses less digits than its factorization.

100540513023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29886.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 100540513023 its reverse (320315045001), we get a palindrome (420855558024).

The spelling of 100540513023 in words is "one hundred billion, five hundred forty million, five hundred thirteen thousand, twenty-three".